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Finding the Third Proportional to 373,968 and 811,032

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Solution

The third proportional to 373,968 and 811,032 is: 1,758,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,968 : 811,032 = 811,032 : x
  2. Step 2: Convert to fraction form
    373,968/811,032 = 811,032/x
  3. Step 3: Cross multiply
    373,968x = 811,032 × 811,032
  4. Step 4: Simplify right side
    373,968x = 657,772,905,024
  5. Step 5: Solve for x
    x = 657,772,905,024/373,968
  6. Step 6: Final answer
    x = 1,758,901.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.